The number of 5-digit numbers consisting of distinct digits that can be formed such that only odd digits occur at odd places is
Question and options
The number of 5-digit numbers consisting of distinct digits that can be formed such that only odd digits occur at odd places is
- 5250
- 6240
- 2520
- 3360
Answer and explanation
Correct answer: C - 2520
Odd places (1st,3rd,5th) take distinct odd digits: 5*4*3 = 60 (leading digit is odd, so non-zero). Even places (2nd,4th) take any 2 of the remaining 7 digits in order: 7*6 = 42. Total 60*42 = 2520.
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